Explain what? Please provide a download with the question.
Answer:
D) -122
Step-by-step explanation:
Given:
We need to find f(-4).
Now by substituting the value of x =-4 in above equation we get;
By using PEDMAS we will solve for exponential function first we get;
Now we know that
So we get;
Now using PEDMAS we will solve division.
Now using PEDMAS we solve multiplication.
Finally by subtraction we get;
Answer:
BD is perpendicular to AC.
Step-by-step explanation:
Because we know that angles ∠BAD and ∠BCD are the same, we can conclude that triangles ΔABD and ΔBCD are congruent. This means that angles ∠BDA and ∠BDC are right angles, and lines BD and AC are congruent.
Answer: the number of multiple choice questions in the test is 12.
the number of short response questions in the test is 8.
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short response questions in the test.
The total number of questions in the test is 20. It means that
x + y = 20
The multiple choice questions are worth 3 points each and the short response question are worth 8 points each. The total number of points is 100. It means that
3x + 8y = 100 - - - - - - - - - - 1
Substituting x = 20 - y into equation 1, it becomes
3(20 - y) + 8y = 100
60 - 3y + 8y = 100
- 3y + 8y = 100 - 60
5y = 40
y = 40/5 = 8
x = 20 - y = 20 - 8
x = 12